Sean, I really don't know where else the cart path could go, and I doubt many people stand on that tee and say "Look at that cart path." It's one of the perks of having 11 bunkers staring at the tee - they sort of capture a player's focus. The photo shown is taken from the back tees, which are left of the three sets that mortals can survive. From those tees, the cart path view is mostly blocked by trees left of the tee box.
Phil, there definitely isn't room to move the tee boxes back. Wolf Run has a surprisingly compact routing and the tightest spot on the course is the knoll where 13 tee, 12 green, 15 green, and 16 tee all sit.
It's notable that you mention softening the left side. One of the secrets of this hole is that it has a kickplate to the left of the green that will send balls onto the putting surface. On my first play, I hooked my tee shot up near the big tree on the hill left of the green. As we approached the putting surface, we noticed a ball sitting a foot from the hole. It was mine. It had fed in from the sideboard for a kick-in birdie which I may never replicate. I'm usually thrilled with bogey.
I don't think the kickplate is currently big enough to be a viable option for a player to use purposefully. I might like to see the tree on top of the hill removed and the kickplate extended to where the tree currently stands. You wouldn't be able to see it from the tee, but a smart player with some local knowledge would be able to aim up there and both shorten the carry needed as well as feed a shot onto the surface, though I have to admit that I really enjoy the hole in its current configuration despite its difficulty.